Chapter 5, Problem 5.72QE

In the process of isolating iron from its ores, carbon monoxide reacts with iron(III) oxide, as described by the following equation:

$\begin{array}{l}{\text{Fe}}_{\text{2}}{\text{O}}_{\text{3}}\left(\text{s}\right)+3\text{CO}\left(\text{g}\right)\to 2\text{Fe}\left(\text{s}\right)+3{\text{CO}}_{\text{2}}\left(\text{g}\right)\\ \Delta H=-24.8\text{ kJ}\end{array}$

The enthalpy change for the combustion of carbon monoxide is

$\text{2CO}\left(\text{g}\right)+{\text{O}}_2\left(\text{g}\right)\to 2{\text{CO}}_{\text{2}}\left(\text{g}\right)\Delta H=-566\text{ kJ}$

Use this information to calculate the enthalpy change for the equation

$\text{4Fe}\left(\text{s}\right)+3{\text{O}}_{\text{2}}\left(\text{g}\right)\to 2{\text{Fe}}_2{\text{O}}_{\text{3}}\left(\text{s}\right)\Delta H=?$